λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,095,392

25,095,392

25 × 7 × 23 × 4871
Abundant Even Composite

25,095,392 factors as 2^5 × 7 × 23 × 4871. Its 48 positive divisors give a proper-divisor sum of 33,836,320, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 4871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,931,712
Proper Divisor Sum 33,836,320
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25095347 ← → #25095407

Radix Representation

Decimal 25095392
Binary 1011111101110110011100000 (25 bits)
Octal 0o137566340
Hexadecimal 0x17EECE0

Divisor Catalog (48)

1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1,288 2,576 4,871 5,152 9,742 19,484 34,097 38,968 68,194 77,936 112,033 136,388 155,872 224,066 272,776 448,132 545,552 784,231 896,264 1,091,104 1,568,462 1,792,528 3,136,924 3,585,056 6,273,848 12,547,696 25,095,392

Collatz Trajectory (136 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

25,095,392 12,547,696 6,273,848 3,136,924 1,568,462 784,231 2,352,694 1,176,347 3,529,042 1,764,521 5,293,564 2,646,782 1,323,391 3,970,174 1,985,087 5,955,262 2,977,631 8,932,894 4,466,447 13,399,342 6,699,671 20,099,014 10,049,507 30,148,522 15,074,261 45,222,784 22,611,392 11,305,696 5,652,848 2,826,424 1,413,212 706,606 353,303 1,059,910 529,955 1,589,866 794,933 2,384,800 1,192,400 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #25,095,391 Browse Full Index Next Integer #25,095,393 →